hoffman derivatives

Derivative of sin x

cos x

Derivative of cos x

-sin x

Derivative of tan x

sec^2 x

Derivative of cot x

-csc^2 x

Derivative of sec x

sec x tan x

Derivative of csc x

-csc x cot x

Derivative of arcsin x

1/sqrt(1 - x^2)

Derivative of arccos x

-1/sqrt(1 - x^2)

Derivative of arctan x

1/(1 + x^2)

Derivative of arccot x

-1/(1 + x^2)

Derivative of arcsec x

1/(|x|sqrt(x^2 - 1))

Derivative of arccsc x

-1/(|x|sqrt(x^2 - 1))

Integral of tan u du

ln|sec u| + C

Integral of cot u du

ln|sin u| + C

Integral of sec u du

ln|sec u + tan u| + C

Integral of csc u du

ln|csc u - cot u| + C